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sinの無限積分解による近似計算
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from sympy import *\n",
"from functools import reduce\n",
"from IPython.display import display, Math\n",
"init_printing()\n",
"x = Symbol(\"x\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$x=\\frac{\\pi}2$ で $1$ になるよう係数 $a$ を調整する。\n",
"\n",
"$\\sin\\left(\\frac{\\pi}6\\right)=\\frac 1 2$ と値を比較する。(緑の縦線)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def plot(x1, x2):\n",
" r = range(x1, x2 + 1)\n",
" t = reduce(lambda t, i: t + (latex(x) if i == 0 else \"(\" + latex(x - i * pi) + \")\"), r, \"\")\n",
" y = reduce(lambda y, i: y * (x - i * pi), r, 1)\n",
" a = 1 / y.subs([(x, pi / 2)])\n",
" ay = a * y\n",
" \n",
" def f(c, rx):\n",
" c.plot(rx, np.sin(rx))\n",
" c.plot(rx, [ay.evalf(subs={x: i}) for i in rx])\n",
" \n",
" _, cols = plt.subplots(ncols=3, figsize=(15, 4))\n",
" f(cols[0], np.linspace(np.pi * (x1 - 1), np.pi * (x2 + 1), 100))\n",
" f(cols[1], np.linspace(0, np.pi, 100))\n",
" f(cols[2], np.linspace(np.pi / 8, np.pi / 4, 100))\n",
" cols[2].plot([np.pi / 6] * 2, [0.6, 0.4])\n",
" \n",
" display(Math(\"f(x)=%s%s\" % (latex(a), t)))\n",
" v = ay.evalf(subs={x: pi / 6})\n",
" a2 = \"\\\\left(\\\\frac{\\\\pi}6\\\\right)\"\n",
" display(Math(\"f%s=%f,\\\\quad f%s-\\\\sin%s=%f\" % (a2, v, a2, a2, v - sin(pi / 6))))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"奇数の次数だと中心がずれる。"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$$f(x)=- \\frac{8}{3 \\pi^{3}}(x + \\pi)x(x - \\pi)$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$f\\left(\\frac{\\pi}6\\right)=0.432099,\\quad f\\left(\\frac{\\pi}6\\right)-\\sin\\left(\\frac{\\pi}6\\right)=-0.067901$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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P2UUN3wosnRTB+FsaFD19v4xxrIQOoNkdkJsBR5bZOhIhhBAloLXm1cUHWbLvDM/3a8y9\nHa6TzJ3cZKwbCwyHO781HuyVERVcnfni3ja0qO3LpHl72RxtpuqXrUcZawjXvwfRa8zTpxBClFEb\njiXR5+MNLN53hsd6NOTXRzoTUs12lY8twfESujqdwKc27Jtv60iEEEKUwOdro/luaxwPda3P+Fsa\nFN0w6RjMvwsqB8FdP4BbEVsY2DFPNxf+e39bgvw8GfvtTg6eSS19p0pB/w8goAn8+jCkJ5W+TyGE\nKGOu5OTx8sIoRn29nYoVXFj4SGee6BWCq7PjpT8O+BM5QfM7IfYPSDtn62iEEEIUw8I9CXy0+hi3\ntQrk+X6Ni26Yfh7m3g7ObsY+c55VrBekmfl6uvHt6PZU8nDlwdk7OZuaWfpO3Tzh9lmQlQqLHgGt\nS9+nEEKUEbviLtL/043M2RbH2C71WPJoBM1q+dg6LItxvIQOoPkI0CYpjiKEEGXI9hMpPPvTftrX\nq8LbtzcrupplbpYxMpdxwRiZqxxk1TgtobpPBWbd15a0rFxGz95JenZe6TutFgq934Tjv8H2L0vf\nnxBC2LnsvHzeW3mEO2ZsJs+kmT+2Ay8NCKWCq/0WyjIHx0zo/EOgZiuZdimEEGVE/MUrjJ+zi1pV\nPPji3ja4uxRx89UaFj8K8Ttg2BdGERAHEVqzElPvbs3Rc5d5asFeTCYzjKq1GwsNe8PqVyA5pvT9\nCSGEnTpy7jJDp25m2roY7gyvzcrHu9K+flVbh2UVjpnQgTFKd26/bLAqhBB2LjMnn3Hf7iI338RX\no8Lx9bxOYZPIj+DAArj13xA62HpBWkm3RgG82L8Jqw4mMuWP6NJ3qBQM+tSYmrpoAphMpe9TXJdS\nqq9S6qhSKlop9XwRbboppfYqpQ4qpdZf9fpJpdSBgvd2Wi9qIcqufJPmi/UxDP58E0lpWXw1Kpx3\nbm+Ot7v9Vzw2F8dN6JoNBycX2Pe9rSMRQghRBK01z/28n8PnLvPZiFbX3w/o+Gr4/Q0IGw5dnrZe\nkFb2YEQ9bmsVyEerj7HmUGLpO6xUE/q9A6e2wPYvSt+fKJJSyhmYCvQDQoGRSqnQa9r4AtOAwVrr\npsAd13TTXWvdUmsdbo2YhSjLTqdcYeTMrby94gi3Ng5g1eNd6RlazdZhWZ3jJnRefhDS15h2mZ9r\n62iEEEIU4tstcSzed4anezeie+OAohsmxxjbE1QLg8GfGyNPDkopxVu3NaNZoA9PLNjLqeQrpe+0\nxUho2AfW/Acunix9f6Io7YBorXWs1joHmA8MuabNXcAvWutTAFrr81aOUYgyT2vNgp2n6fvJBg6f\nvcwHd7Rg+j2tqertbuvQbMJxEzow9uHJSDKe6gohhLAr+05f4s1lh+jROICHr7c9QU4G/HAPKCcY\nMceo4OjgKrg6M+3u1ijgke93kZWbX7oOlYKBHxm/w+XPSNVLywkETl/1fXzBa1cLASorpdYppXYp\npUZd9Z4G1hS8Ps7CsQpRJl1Iz2bcd7t49qf9hAX6sOLxLgxvU6voQlrlgGMndA17gVcA7Jlj60iE\nEEJcJfVKLo/M3U1AxQp8eGcLnJyKuBFrDUufhPOHjTL8DlDR8mbVruLJh3e2JCrhMm8uM8N6cJ9a\ncOtLRtXLQ4tK358oKRegDTAA6AO8rJQKKXgvQmvdEmPK5gSlVNfCOlBKjVNK7VRK7UxKkn0GRfnx\n++FE+n6ygfVHk/j3gCbMG9uBWpUd/yHfjTh2QufsCi3+BcdXycaqQghhJ7TWvPDrfhIvZzH17tbX\nL4Ky+xvYPx+6vQDBPawXpJ3oFVqNh7rWZ87WU6yMOlv6Dts9BNWbw4rnjD3qhLklALWv+r5WwWtX\niwdWaa0ztNYXgA1ACwCtdULB1/PArxhTOP9Baz1Tax2utQ739/c3848ghP25kpPHC78c4MFvduLn\n7c7iRzszpkv9oh8GljOOndABtLwHTHnGBwIhhBA2t2DnaZYfOMfTfRrRsrZv0Q3P7oflz0KDHtD1\nGesFaGee6t2I5rV8eO7nA6XfdNzZBQZ9AumJsP498wQorrYDaKiUqqeUcgNGAIuvabMIiFBKuSil\nPIH2wGGllJdSqiKAUsoL6A1EWTF2IezSnlPGJuHzd5zioa71WTSxM42rV7J1WHbF8RO6gMZQqy3s\n+kbWDAghhI3FJKXz2uJDdA6uyrgu9YtumJ0OPz0AnlXgtpng5Pi3q6K4uTjx6YhW5OabeHz+XvJL\nuz9dYBtofS9smwFJx8wTpABAa50HTARWAYeBBVrrg0qp8Uqp8QVtDgMrgf3AduArrXUUUA2IVErt\nK3h9mdZ6pS1+DiHsQV6+iU/WHGP4jC3k5mvmje3AC/2bFL1PaTlmljukUuprpdR5pVTUVa9VUUqt\nVkodL/ha2RznKpE2D0DycYjbZLMQhBCivMvNN/HED3txd3XioztbXn+qzPKnISUWbv/KqFpcztXz\n8+K1wU3ZdiKFWZGxpe/w1lfA1QtWPicPO81Ma71cax2itW6gtZ5c8NoMrfWMq9q8r7UO1VqHaa0/\nKXgtVmvdouBP0z+PFaI8Onkhg+EztvDJmuMMal6DFY93oUM52SS8JMz1yHM20Pea154HftdaNwR+\nL/jeNpoOA3cf2DXbZiEIIUR5N+2PGPbHpzJ5aDOqVapQdMN9P8C+edD1WQiKsF6Adu6ONrXoHVqN\nD1Yd41hiWuk68/aHbs9DzFo4usI8AQohRClprflhxyn6f7aR2KR0PhvZik9GtKJSBVdbh2bXzJLQ\naa03ACnXvDwE+Kbg798AQ81xrhJx8zSKoxxaBBnJNgtDCCHKqwPxqXy+9jiDW9RkQPMaRTe8eBKW\nPQV1OsItz1otvrLgz/3pKlZw4ckFe8nNN5Wuw3ZjwS8EVr8i+7UKIWwuJSOH8XN28dzPB2hRy5eV\nj3dlcIuatg6rTLDkooRqWus/S3Kdw5gb/g9WK73b5n7IzzGe+gohhLCanDwTT/+4jypebrw+pGnR\nDfPz4Jdxxp5pt80EJ1kncS0/b3cmD2tGVMJlpv4RXbrOnF2h53+MJQm7v7lxeyGEsJANx5Lo+8kG\n1h45z4v9GzN3THtq+nrYOqwywyqrzLXWGmOzzMLes07p3WpNoVY72Pk1mEr5VFMIIcRNm/pHNEcT\n03j7tmbX36Jg44dwehsM/Bh861gvwDKmb1h1Breoafxez5Vy6mWjflCnE6x7B7JL2ZcQQhRTVm4+\nry85xKivt1PJw5WFEzozrmsD2Y6gmCyZ0CUqpWoAFHw9b8Fz3Zy2YyAlBmL/sHUkQghRLhw5Z4wk\nDW1Zkx5NCp2oYUjYDRveg2Z3QLPh1guwjHp1UCgVK7jy7E/7yCvN1EuloPebkJEEmz41X4BCCHED\nR8+lMXTqJr7edIL7OtZl6aMRNK3pY+uwyiRLJnSLgfsK/n4fxr4rttV0KHj6wfYvbR2JEMJClFJ9\nlVJHlVLRSql/FGNSSvkopZYopfYppQ4qpR6wRZzlQb5J89xP+/HxcOWVQdeZapmbCb+OB68A6P++\n9QIsw6p6u/Pa4Kbsi0/l600nStdZrTZG8bAt0yDdgksfhBACo/DJ7E0nGDQlkgvp2fz3/rb8Z0gY\nFVxlmn1JmWvbgnnAFqCRUipeKfUg8A7QSyl1HOhZ8L1tubgba+mOrYSLcbaORghhZkopZ2Aq0A8I\nBUYqpUKvaTYBOKS1bgF0Az4s2ABYmNm3W06yLz6V1wY3pYrXdX7Fa9+EC0dhyBTwsN0ON2XNoOY1\n6NkkgI9XH+d0ypXSddb9JcjLhMiPzBOcEEIUIiktmwdm7+C1JYeICPZj5eNd6d44wNZhlXnmqnI5\nUmtdQ2vtqrWupbWepbVO1lr30Fo31Fr31FpfWwXTNsJHg3KCnbNsHYkQwvzaAdEF+znlAPMxKu5e\nTQMVlVIK8Mao0Jtn3TAd39nUTD5YdZRbQvwZeL2qlnFbYMtUCH8QgntYL0AHoJTiP0PCUApeWRSF\nLs1+cn4NocVdsGMWpCaYL0ghhCiw9kgifT/ZwJaYZF4f0pRZ94Xj5+1u67Asz5QP22bC4kctdgqr\nFEWxKz6B0GQg7P4Wckr5RFMIYW8CgdNXfR9f8NrVpgBNgDPAAeAxrbVUSjKz1xYfJF9r3hwahpE7\nFyLnCiyaAL61odfr1g3QQQT6evBkrxD+OJrEiqhzpevslmdBm4y1jEIIYSZZufm8tvggo2fvxL+i\nO0sejWBUx6Ci7w2OJPEgzOoNK56BS6chN8sipyl/CR1Au4cg8yLs/8HWkQghrK8PsBeoCbQEpiil\nKhXW0GrbqjiY3w8nsupgIpN6NKR2Fc+iG/4x2ShUNXgKuHtbL0AHc3+nIEJrVOK1xQdJzy7FYHPl\nusayhD1zjP0AhRCilI6eS2PIlE3M3nyS0Z3rsXBCZ0KqVbR1WJaXmwlr/gNfdIWLJ+C2L+HeX8G1\ngkVOVz4TurqdoEZL2DpNtjAQwrEkALWv+r5WwWtXewD4RRuigRNA48I6s9q2Kg4kKzef15YcJDjA\nmzER9YtueHrH/6da1r/FegE6IBdnJyYPC+N8Wjaf/X68dJ11edJYlhD5sXmCE0KUS1prvtl8kkFT\nIknOyGb2A215ZVBo+Sh8Ersepncy1iQ3/xdM2AHN7zSqCltI+UzolIKOE+HCMYheY+tohBDmswNo\nqJSqV1DoZARGxd2rnQJ6ACilqgGNgFirRunAZqyP4XRKJq8PboqbSxG3mLxsWDwRKgVCr/9YN0AH\n1apOZf4VXpuvI09wPLEU+8lVqgmtR8Geucb0ICGEKKbk9GzGfLOTVxcfpFODqqx4rCvdGpWDwidX\nUmDhI/DtYOP7UYtg6DTwqmrxU5fPhA6MLQwq1oQtU2wdiRDCTLTWecBEYBVwGFigtT6olBqvlBpf\n0OwNoJNS6gDwO/Cc1vqCbSJ2LKeSrzB9XQwDmtegU7Bf0Q03fgRJR4wNxN3LwdQbK3m2byM83Zx5\ndfHB0hVI6fy48VX2pRNCFFPk8Qv0+3QjG49f4JWBofz3/rb4V3Twwidaw/4fYUpbYzlXxJPw8Gao\n381qIbhY7Uz2xtkV2o+DNa/BuQNQvZmtIxJCmIHWejmw/JrXZlz19zNAb2vHVR68uewQzk6Kfw9o\nUnSj84dh44fGBuIh8p/BnKp6u/NM38a8vDCKFVHn6N/sOtVFr8e3NrS8C3Z/Y0zBrFTTvIEKIRxO\nTp6JD387yhcbYgkO8Gb2A+0IrVno8nTHcukULH0SoldDzdYweBFUD7N6GOV3hA6Mxd9u3rDpM1tH\nIoQQZdrm6Av8diiRCd2DqeHjUXgjkwmWPGaMyvW1/dakjuiudnVoXL0iby0/TFZufsk76vKkUWp7\n6zTzBSeEcEgnLmQwfMZmvtgQy13t67BkYoTjJ3OmfNg6HaZ2gLjNxj1tzBqbJHNQ3hM6j8pGUhf1\ns1T0EkKIEsrLN/H60kPUquzBgxH1im64+xs4vQ36TAav60zJFCXm7KR4ZVAo8RczmRV5ouQdVQ6C\nsNtg53+NqtBCCFGIX3bHM/CzjcQlX2HGPa15a1gzPNwcvPDJuSiY1QtWPm8UWpywFTo8DE62+7nL\nd0IH0HGCUdFrs6ylE0KIkpi34zRHzqXxUv8mRVcwS0uE1a9CUBdoMdK6AZYznRr40adpNab+EU3i\n5VLsedT5MchJNzYbF0KIq6Rn5/HED3t5csE+mgb6sOKxLvQNK+E077IiNwt+fwNm3gIX4+D2WXD3\nj+Bbx9aRSUJHpZrQYgTs+Q7Sz9s6GiGEKFMuZ+Xy8epjtK9Xhb5h1YtuuOoFyMuEgZ9YtHSzMLzU\nP5S8fM0Hq46WvJPqzSC4pzGtKDfTfME5OKVUX6XUUaVUtFLq+SLadFNK7VVKHVRKrS/OsULY2v74\nSwz4bCOL9ibwRM8Q5o3tQE3fIqbaO4qTm2BGZ9j4ATS7EybugGbD7eZ+JgkdGE8h87KNm5YQQoib\nNn1dDCkZObw8MBRV1I0t5g9januXp8Av2LoBllN1qnpyf+cgftodz6Ezl0veUcQTcOWCsdm4uCGl\nlDMwFegHhAIjlVKh17TxBaYBg7XWTYE7bvZYIWzJZNLM3BDDbdM2k5tn4oeHOvJYz4Y4O9lHUmMR\nWamw5HFTtALAAAAgAElEQVSY3R/yc43NwYdNB88qto7sbyShA/BrCKFDYPuXxh4SQgghbijhkrFO\n67ZWgYQF+hTeKC8blj8Nlev9vxy+sIoJ3YLx8XDlreWHS76NQd3OENjGeOBpMpk3QMfUDojWWsdq\nrXOA+cCQa9rcBfyitT4FoLU+X4xjhbCJpLRs7p+9g7eWH6Fnk2qseKwrbYPsK6kxu8NLYUo7Y/13\nx4nwyBZocKutoyqUJHR/uuU5yEmTil5CCHGTPlh1FAU81adR0Y02fwbJ0dD/A3CtYLXYBPh4ujLp\n1oZERl9g/bGkknWiFHR4BFJi4Pgq8wbomAKBq3dkjy947WohQGWl1Dql1C6l1KhiHCus4N3t7/Lu\n9ndtHYbd+HNvuW2xybw5NIzp97TGx9PV1mFZTvp5WHAf/HA3eFY1qlf2mQxuXraOrEiS0P2pWqgx\nSrd1hozSCSHEDUQlpPLrngRGR9QjsKi1ExfjYMMH0GQwNOxp3QAFAPd0qEvdqp68s+II+aYSjtKF\nDoFKgbBlqnmDK79cgDbAAKAP8LJSKqQ4HSilximldiqldiYllTBZF0U6knKEIylHbB2GzeXmm3h3\n5RHu/XoblT1dWTwxgns61C16en1ZpzXsmWtsEH50Odz6b3hovTFLwc5JQne1v0bpZC2dEEJcz3ur\njuLr6crD3RoU3WjVi0YV4b5vWy8w8TduLk483bsRR86lsWhvQsk6cXaF9g/ByY1wdr95A3Q8CUDt\nq76vVfDa1eKBVVrrDK31BWAD0OImjwVAaz1Tax2utQ739/c3W/BC/Ol0yhXu/GIL09fFMKJtbRZP\njKBR9Yq2DstyLp6E74bBokcgoAmM3wRdnzGuf2WAJHRXq9bUeJK8dbqM0gkhRBE2R19gw7EkJnQL\nplKFIm520WvgyFLo+jT41LJugOJvBjSrQbNAHz787RjZeSXcbLz1feDqJcsSbmwH0FApVU8p5QaM\nABZf02YREKGUclFKeQLtgcM3eawQFrfiwFn6f7aR6MR0Ph/Zirdva+64e8uZ8mHLNJjWEeJ3GMsD\n7l8O/sUaNLc5Seiu1f1FY9+dyI9sHYkQQtgdrTXvrjxCTZ8K3NuxbuGN8nJgxXNQpb6xkFzYlJOT\n4rm+jUm4lMmcradK1omHL7S8y6hWmi5T/Iqitc4DJgKrMJK0BVrrg0qp8Uqp8QVtDgMrgf3AduAr\nrXVUUcfa4ucQ5VNWbj7/XniAh+fupr6fF8smdWFQi5q2Dstyzh+GWb2NbXWCIuCRrdBuLDiVvfTI\nxdYB2J2AJsa+dNu/NBaCV3Lgf8hCCFFMK6POsS8+lfeGNy96E/FtM4xCKHf9CC7u1g1QFCqioR8R\nwX5MWXucf7Wtjbd7CW7/7cbBji+Nim9dnzZ/kA5Ca70cWH7NazOu+f594P2bOVYIa4g+n87E73dz\n5FwaY7vU45k+jXFzKXuJzU3Jy4HIj2HD++BeEW77yq72lCsJB/0vVUrdXjCGYNe/Z+tIhBDCbuSb\nNB+uPkYDfy9ub13ENMq0ROPa2bAPhPS2boDiup7t24iLV3L5OvJEyTrwD4H63WDn15CfZ87QhBA2\n9NOueAZ9Hsn5tGz+e39bXhoQ6rjJXMIumNkN1r1lFHyauAOa31GmkzmQhK5wletC+AOw+1u4EG3r\naIQQwi4s2ptA9Pl0nuzVqOiNZNe+DnlZ0Oct6wYnbqh5LV96h1bjyw2xXLqSU7JO2o2DywlGBTgh\nRJmWkZ3Hkwv28vSP+2hey4flk7rQvXGArcOyjJwr8Nu/4auekHkRRs6H4bPAy8/WkZmFJHRF6foM\nuHrC6ldsHYkQQthcbr6JT9YcJ7RGJfqFVS+8UcJuo+Rzh/HgF2zdAMVNeap3I9Jz8vhiQ2zJOgjp\nCz61YftM8wYmhLCqw2cvM2hKJL/uSWBSj4Z8P7YD1X0cdK/Qk5EwozNs/hxaj4IJW6FRP1tHZVaS\n0BXFOwAiHoejy4x/CEIIUY4t2HmaUylXeLpPCE6Fjc5pDStfMJ52dn3G+gGKm9KoekUGt6jJ7E0n\nSUrLLn4HTs4QPtrYwiDpqPkDFEJYlNaaudviGDp1E+lZecwd054ne4UUPeuiLMu6DEufhNkDQJvg\nviUw6FOo4GPryMzO4gmdUuqkUuqAUmqvUmqnpc9nVh0nQKVaxl5KJpOtoxFCCJvIzstnytpoWtXx\npXujIqbjHPwVTm81NmJ1wJulI3m8Zwg5+SZmrI8pWQet7gUnV9g126xxCSEsKy0rl0fn7eGlX6No\nV68Kyx/rQqcGjjHl8B+OrzG2Itj5NXSYAA9vhnpdbR2VxVhrhK671rql1jrcSuczD1cP6PkqnN0H\n++bZOhohhLCJBTtOczY1iyd7haAKWziemwVrXoVqYcaHfWHX6vl5MbRlIHO2xnH+clbxO/D2hyYD\nYe/3kJtp/gCFEGYXlZDKwM8jWRF1jmf7NuKbB9rh5+2AVYivpMCvD8Pc28HNCx5cDX3fMv7uwGTK\n5Y2EDYdabY0PK1mpto5GCCGsKis3n6l/xBBetzIRwUU8yd06DS6dgj6TjSl5wu5N6hFMnkkzvaSj\ndG0egKxLcGiReQMTQpiV1ppvNp/ktmmbyc41MX9cBx7pFlz41Pmy7vASmNYB9v9gTP0fvxFqt7V1\nVFZhjYROA2uUUruUUuOufVMpNU4ptVMptTMpyQ43K3Vygv7vQ8YF+ONtW0cjhBBW9cOO05y7nMUT\nRY3OpSfBxo8gpJ9R0l6UCXWrenFbq0DmbjtFYklG6ep1hSoNYOd/zR+cEMIsLmfl8sjc3by6+CCd\ng6uy/LEutA2qYuuwzC89CX68H364x6iBMe4PY/p/OdoH1RoJXYTWuiXQD5iglPrbBFat9UytdbjW\nOtzf398K4ZRAzVbQ5n6jqlfiQVtHI4QQVpGVm8+0ddG0C6pCpwZVC2+0/h3IvQK9XrducKLUHr21\nIfkmzfR1JRilU8q4L57eCucPmz02IUTpHIhPZeBnkfx2KJEX+jVm1n1tqeLlZuuwzEtrOPATTGsP\nR5bBrS/D2D+gRgtbR2Z1Fk/otNYJBV/PA78C7Sx9Tovo8QpUqGRUy5ECKUKIcuDHXfEkXs5mUo+G\nhY/OJR0zRmjCHzA2nRZlSp2qngxrFci87ac4n1aCUbqWdxnFUXZ/Z/7ghBAl8ucUy9unbyY338SC\nhzrw0C0NHG+KZdo5mH83/PwgVK4HD22Erk+Ds6utI7MJiyZ0SikvpVTFP/8O9AaiLHlOi/GsAr3f\nNJ5G7p5t62iEEMKicvJMzFgXQ6s6vnQOLmJ0bs2rxn6dtzxv3eCE2UzoHkxuvomvNp4o/sFefsZe\nTvvnQ14JNyoXQpjN5axcJnxvTLGMaOjH8kldaFPXwaZYam0UZJraDmJ+h15vwIO/QUBjW0dmU5Ye\noasGRCql9gHbgWVa65UWPqfltLwbgrrA6lfh8llbRyOEEBbz6554Ei5lMunWIkbnTm6Co8uhyxNG\n1UNRJtXz82Jwi5p8tyWO5PQS7EvXehRcSYZjZffWLoQjiEpIZdDnkaw6aEyx/GpUOJUdbYplagLM\nvQMWPgwBoTB+E3SeJMW4sHBCp7WO1Vq3KPjTVGs92ZLnsziljA0J87JhxbO2jkYIISwiL9/EtHUx\nNAv0oVujQpI1rWH1y1CxJnR4xPoBCrOaeGswWXn5zIoswShdg1uNfwd75pg/MCHEDWmtmbM17q8q\nlj+Mc8ApllrDrm+MCpZxm6Dfe3D/cvALtnVkdkO2LSiuqg2g2/NweDFE/WzraIQQwuyWHThLXPIV\nJt4aXPjo3KGFkLALbn3J2K9TlGnBARXpH1aD77bEkZqZW7yDnZyh5UiIXg2Xz1gmQCFEodKz85g0\nfy//XhhFxwZGFctwR6tieekUfDcMlkwyip08vBnaP2RUoRd/kd9GSXSaBIHhsOwpY1GmEEI4CJNJ\nM/WPaEKqedOrSbV/NsjPhd9fN6a7tBhp/QCFRTzSvQFp2XnM2RpX/INb3g3aBPvmmT8wIUShjpy7\nzODPI1m2/wzP9GnEf+93sCqWJhPsmAXTOsLp7TDgQxi1GKrUs3VkdkkSupJwdoFhMyA3ExZPMoaC\nhRDCAaw5nMixxPSiN57dNRtSYqHna7JuwYE0relD90b+zIo8QWZOfvEOrtoA6naGffPlfiiEFSzY\neZohUzaRnp3H92M7MKG7g20UfvEkfDcElj0JtcLhkS3QdoyMyl2H/GZKyq+h8YHm+CrY+bWtoxFC\niFLTWjN1XQy1q3gwsHmNfzbITof17xkf3hv2tn6AwqImdA8mJSOH+TtOFf/gFiPgwjFI2G3+wIQQ\nAGTm5PP0j/t49qf9hAdVZtmkLnSoX0QV4rLIZILtX8K0TpCwBwZ+AvcuhMp1bR2Z3ZOErjTaPQQN\nesCqFyHxkK2jEUKIUtkck8y+05cYf0sDXJwLuT1snQ4Z542HWYWtrRNlWnhQFdrVq8LMDbHk5BVz\nv9XQIeBSQaZdCmEhMUnpDJ26iZ93x/NYj4Z8O7o9/hXdbR2W+aScgG8Hw/KnoU57Y1Qu/AG519wk\nSehKw8nJmHrpXgl+Gg05V2wdkRDlnlKqr1LqqFIqWilV6AZpSqluSqm9SqmDSqn11o7RXs1YH4N/\nRXdub13rn29mJMOmT6HRAKjdzvrBCat4pFsDzqZmsXhfMQucVPCBxgMg6qdyvyfdja5BBdef1IJr\n0F6l1CtXvXdSKXWg4PWd1o1c2Ksl+84w+PNIktKz+eaBdjzRKwRnR5li+eeo3PTOcHYfDP4c7vkF\nfGvbOrIyRRK60vIOMJK6pMOw/BlZPyCEDSmlnIGpQD8gFBiplAq9po0vMA0YrLVuCtxh9UDtUFRC\nKhuPX2B053pUcC1kbVzkR5CbAT1etn5wwmpuCfGnSY1KzFgfg8lUzPtZi5GQeRGO/2aZ4MqAm7kG\nFdiotW5Z8Of1a97rXvB6uKXjFfYtOy+fVxZF8ei8PTSqXpFlkyLoGuJA+37+bVSugzEq13qUjMqV\ngCR05hDcA7o+A3vnGAUDhBC20g6ILtgDMweYDwy5ps1dwC9a61MAWuvzVo7RLs1YH4O3uwt3d6jz\nzzdTE4wnqM1HQEAT6wcnrEYpxfhb6hN9Pp3fjxTzf4363cEroLxPu7yZa5AQNxR/8Qp3ztjCt1vi\nGBNRjx8e6kgNHwfZJqbQUbmfwaeQ2SHipkhCZy7dXjDW0614FuJlloQQNhIInL7q+/iC164WAlRW\nSq1TSu1SSo0qqjOl1Dil1E6l1M6kpCQLhGsf4pIzWH7gLHe3r0OlCq7/bLDhPaMsfbdCZ7AKBzOg\nWQ0CfT2YsT6meAc6u0CzO4wRusyLlgnO/t3MNQigk1Jqv1JqhVKq6VWva2BNwbVpXFEnKS/XpvJq\n7ZFEBnwWSWxSBjPuacO/B4biWti65rJIRuUswkH+ddgBJ2e4/SuoWB1+uEc2WBXCfrkAbYABQB/g\nZaVUSGENtdYztdbhWutwf38HmuZyjS83xuLi5MToiEL290mOgd3fGYvTpdJYueDi7MTYLvXYFXeR\nHSdTindw8zsgPwcOLbZMcI5hN1BHa90c+BxYeNV7EVrrlhhTNicopboW1kF5uTaVN/kmzQerjjJ6\n9k5q+nqw5NEI+oZVt3VY5iGjchYlCZ05eVaBkfMhOw2+/5dR4lsIYU0JwNUrqWsVvHa1eGCV1jpD\na30B2AC0sFJ8dic5PZsfd8YztFVNqlWq8M8G694GF3fo8rT1gxM286+2dajs6crMDbHFO7BGS6ga\nDAd+tExg9u+G1yCt9WWtdXrB35cDrkopv4LvEwq+ngd+xZjCKcqBpLRs7p21jSl/RPOv8Nr8+kgn\ngvy8bB2WeVyM+2cFSxmVMytJ6MytWlMY/l9IjIJfxoKpmBu0CiFKYwfQUClVTynlBowArh0qWARE\nKKVclFKeQHvgsJXjtBtztp4iO8/E2C71//lm4kE48BO0GwcVq1k/OGEzHm7O3NuhLmsOJxKTVIyH\nk0oZ0y5PRpbXmSo3vAYppaorZXySVUq1w/gslqyU8lJKVSx43QvoDURZNXphEztOpjDgs43sirvI\n+8Ob8+7w5oUXpyprtDb2ap7eCc7shUGfGRUsZVTO7CShs4SQ3tD3HTi6HJY+IZUvhbASrXUeMBFY\nhZGkLdBaH1RKjVdKjS9ocxhYCewHtgNfaa3L5YemrNx8vt1yklsbB9CwWsV/NvjjLXCvCJ0fs3ps\nwvbu7RiEq7MTsyJPFO/AsOGAhqhfLBKXPbuZaxAwHIhSSu0DPgNGaK01UA2ILHh9O7BMa73S+j+F\nsBatNV9tjGXEzK14ujmzcEJn7gh3kHL9l07Dd0ONz8GBbeCRzdDmPhmVsxAXWwfgsNo/BOmJsPFD\n8PKXUt9CWEnBFKbl17w245rv3wfet2Zc9ujn3fEkZ+QUPjp3Zg8cWWoUfPKsYv3ghM0ZexIG8vOu\neJ7sFYKf901uYuwXDDVbwYEF0GmiZYO0Qze6BmmtpwBTCjkulnI8/bu8ScvK5dmf9rMi6hx9mlbj\n/TtaFF6UqqzRGvZ8BytfNIppDfgIwkdLImdhMkJnSbe+DK3vg40fGImdEELYCZNJM2vjCZrX8qFD\n/UIStrWTwaMydHjY+sEJuzGmS32y80x8uyWueAeGDTcKH1w4bpnAhCjDjpy7zOApm/jtUCIv9W/C\njHvaOEYyl5oAc4fD4kehZktjVK7tg5LMWYEkdJakFAz8GJrdCb+/LkmdEMJurD1yntgLGTwYUQ91\n7c329HaIXg2dJkEFH9sEKOxCA39vejYJYO7WOLJyi7EmvOkw4+vBhddvJ0Q5s3BPAkOnbiI9O4/v\nx7RnbNf6/7wGlzVaw955MK0jxG2Gfu/BqMVQOcjWkZUbktBZmpMzDJthLBL//XVY946sqRNC2NxX\nkbHU8KlA/2Y1/vnmH5PB08+YOi7KvdER9UjOyGHhnmsLxl6HTyDU7gAHy986OiEKk52Xz8sLo3j8\nh700r+XLskkRtK9f1dZhlV5aIsy/CxaOh4AmMD7SuHc4SYphTfLbtgYnZxg6A1qMNEqAr3jO2I9D\n2I7WkliLcisqIZWtsSnc3ynon5vVntwEsesg4glwc5CS2aJUOtavSmiNSsyKPIEuznWz6TA4fwjO\nH7FccEKUAWcuZXLnF1v5bmsc47rW5/sx7QmoWMg2MWVN1M8wrT1E/w69J8MDy6FqA1tHVS5JURQg\nJSOH44lpnEq5QvzFTM6lZpFyJYdLV3LIzM0nK9eE1honpXBzccLL3YVKFVzxr+iOf0V3alf2oG5V\nL4IDvKni5Vb4SZxdYMg08KwKW6ZARhIMnQauHtb9YR2M1przadnEJmVw6vxFriQexyklGo+0U1TM\nPodP7nl8TJfwMaXizRU8dCau5OKE8aEkT7lhcqmAdvfB2bsqLr61wKe2cUEKaGJsQ+FR2cY/pRDm\n9XXkCTzdnBnRrs4/31z3NnhXMxaxCwEopRjTpR5PLtjHhuMXuCXkJjeyDh0CK5+HQwsh4HnLBimE\nndp4PIlJ8/aQm6+ZcU9r+oYVMiuirMlIhmVPGv9vB7YxBi38Q2wdVblW7hK61MxcdsWlsDvuEgcS\nUjl4JpUL6Tl/va8U+Hm7U9XLDV9PVwIqVqCCqxMKhUlrsvNMZGTnEX/xCntPXyQ5I+dvAz3+Fd0J\nrVGJFrV9aVXblzZBlf+/0NXJCXq/Cd4BsPpVuBQHI76HitWt/Fsouy6kZ7Mr7iJRJ86QcWInXikH\naJh3nMbqFOHqHK7q/2s8rihPLroEkOZWhXMuNbmivMigAlfyXbiSp8nMySc/N4sKuTn4ZqVTJTWN\n2on7qMkaKuis/5/ULwRqt4cG3aF+d6n4J8q0xMtZLNl/hrvb18XH45pF+Cc2wMmN0PddcPO0TYDC\nLg1sXpN3Vhzhq42xN5/QVaoBdTsZ2xfc8pwURhDlismkmbYumg9XHyMkoCLT72lNfX9vW4dVeoeX\nwtLHIfMS9HgFOj1mDFoIm3L4/wJZuflsP5FCZPQFIo9f4PC5y2gNzk6KhgHedG8UQKPqFQkO8Kae\nnxc1fDxwc7n5mag5eSbOXMrkZHIG0efTOXIujaiEVKasPY5JG/ev0BqViAj2o0tDf9rWq4x758eg\nSgNj4/GZ3eGO2VCnveV+CWVYRnYeW2OT2XXwKNkxG6mdtpe2TkfpqU7hrIxMOt2rOjlVQ8mscTtO\ngaE4B4RAlfp4elTmRh9Js3LzSbiUyYmkDA4npfPL2ctExV8iIzmeRuo0zZ1OcMvlk4TtX0iFPd+h\nlROqbmcIuw1Ch0pyJ8qcOVvjyDNp7u8U9Pc3tDbW+HpXhzb32yI0YcfcXJwY1bEuH/x2jOjzaQQH\nFLJvYWGaDoPlTxtTL6s1tWyQQtiJ1MxcnlqwlzWHzzOkZU3evq0Znm5l/CN35iVjxH3fPKjeDO5d\nCNXDbB2VKGDxf11Kqb7Ap4Azxga+71j6nMnp2fx+5DyrDyUSefwCmbn5uDk70bquL0/0DKFtUBVa\n1vbFw8251Odyc3EiyM+LID8vujUK+Ov1Kzl57D11ie0nU9gSk8zXm07wxYZYPN2c6dLQjx5NWtBn\n5FJ8loyG2f2hx6vQcaIsIgXOpWaxbn805/atoWriZtqrKHo4GYvxc908yKzWGt3gDiMJrtkKb++b\nfFpciAquzjTw9zYquVHtr9dTM3PZe/oS22KTmRybTFT8RcJ0NH3d9zH0zA6qnXwCveI5VOgQCH8Q\n6nSQp8/C7mXl5jN32yl6NA4gyO+a9XEnN0LcJqM6masDrO0QZjeyXR0+WxvNfzedZPKwZjd3UOgQ\nWP4MHFokCZ0oFw6duczDc3eRcDGT/wxuyqiOdct+FcvoNbDoUWN/5a7PQtdnwKWIJUbCJiya0Cml\nnIGpQC8gHtihlFqstT5k7nOdv5zFyoPnWH7gLNtPpGDSEOjrwfA2tbi1cQDt61ex6tMRTzcXOgX7\n0SnYj8d7/n+k6Y+j5/n98HlWHUzkBSdFt7of8YrbVOqufhlifofBU8C3ttXitBfxKRls27KBK4dW\nEJK2jdvVcVxVPrmu7qRXa0du4zG4NuiKa40WuDpbfq8WHw9Xbgnx/2tqUWpmLpui2/DHke70P5xI\n9ezjjHBZz+1Ry/E88CN5Ndvi0vVJaNRPEjthtxbvPUNKRg6jO9f7+xt/js5VrGHsnSlEIap6uzOs\nZSA/747nmT6N8PW8iQ903gHGtMtDi6H7i5YPUggb+mV3PC/+egAfD1d+eKgDbeqW8Vk82Wnw279h\n12zwawQj5kJga1tHJQph6QynHRCttY4FUErNB4YAZknoUjJyWBF1lqX7zrL1RDJaQ3CANxO6B9On\naXWa1qxkN09FvNxd6NGkGj2aVOONIZqohMusOniO5VFnuSVpNHc5B/HKibk4TelA3q3/wbPDaIcf\nrTt/4QL7NyyEY6tolrmd29UlAJIqNSK94XgqN++La+32VHZxt3GkRoLXv1kN+jerQb5Js+dUOKsO\ndmfQ/pN0TP+NhxKWUnv+SC76NqVCvzfxaHSrrUMW4m+01ny96QSNqlWkY4NrSmX/NTr3vozOiet6\nICKIH3aeZv6O04y/5Sar2TUZDCufMzYZ92to2QCFsIGcPBNvLD3Ed1vjaF+vClPuao1/Rdt/dimV\nk5tg4cNw6ZSxJ2n3l+T+YMcsndAFAqev+j4eKPViscNnL/PuyiNEHr9AnklT39+LSbc2ZGDzGjSs\ndpPz+m1IKUWzWj40q+XDU71DOJaYztL9DRm9tx2Ppn1Kx9+eInbdl8R1+A9tO/fE272Mz7u+yqX4\nw0RH/oxb7BoaZ++np8onXXlxLqAjLi0GUrVFP/ztvEiMs5MiPKgK4UFVeLF/E/bHd2LO/gfJ3zOf\n+y/Op/K8YRzw6kBylzfp0KY1FVxLP7XXXiRezmLp/rNsjr7AzFHhODvZxwMTcWNbY1M4ci6Nd29v\n9s8HXeveLRidG2Wb4ESZ0bh6JTo1qMq3m08yJqIeLtdue1GYJoOMhO7QIuj6tOWDFMKKzqVm8fDc\nXew5dYmxXerxXN/GN/f/hb3KzYS1b8KWqcbG4KNXGstKhF2zeaaglBoHjAOoU6eQEtqF8HB15nhi\nOmO61GdQixqE1rCfkbjiUkrRqHpFGlVvhO4VwsGEvixe+186x35C9w3/Ytm6jmyv9wjtw9vSvVGA\nWdb9WVVeNhnHNnBmxyIqnl5L9bwEwoGTTrXYHziSGm2HENi8O8FWmEZpCUopWtT2pUVtX0z9wtgT\nO5GDaz8n4swsGq7oxxcrbud0k7H0b1mbiGD/YhXcsRfJ6dmsiDrH0v1n2HYiBa2hac1KJKVlU91H\nntaVFbM3n6CypytDWgb+/Y2TkRAXaVS2lKev4iY80LkeY7/dyepDifQrbGP6a/kEQmA4HF4sCZ1w\nKFtiknl03m6u5OQz9a7WDGhexrckSNgNv46HC0eh7Rjo+R9wd4DKnOWApRO6BODqBWG1Cl77i9Z6\nJjATIDw8/KZ2LA3y8yLyue5lNokrilKKsFq+hI16AlPmaM6seI9eUV/RJ+4+lsR2ZKQaQmCjtvQN\nq073xgH2OXKnNSTHcOXwai4dWEHVpG146SzqaFf+1959x0dVp/3/f13pIQmhJKEklNB7DQGkCFZw\nVUBQwV4R2+7+tty69Xvf9657r+sW11VBV7ArIkhRUexKL6F3Q02ooYWaOtfvjzOsEdOAzJyZyfV8\nPOaRzJkzM++ZzJyczzmfz/VZGd6FtS3G0aLfCNp16ErLEPv7hYUJvds0gTZ/ouToQxyd+XN+snsq\n6zYv56drJnAwugVXdmrE8C5NGNQ2KaDP3B08XsC8jQf4eP0+lmw/QqlHae09E35d96a0SbENfDDJ\nPXqaTzce4IFLW//wc/f1k868c71t7Jypnss6pJBWP5aXF+2sXoMOoNP18Onv4ehO56i/MUFMVXlp\n/ks8OYgAACAASURBVA7+/PFmWjSsw9Tx/apf+TUQlRbDN0/BN391ptK67T1oc7nbqcx58HWLYDnQ\nVkTScRpyY4FbauKBQ60xd66w2ESa3vAEXPljPAuf4foVLzOqZCFZ33bi1Q2X8SvJJKNNE67o2Igh\n7ZNJq+/inFHH96E753N80xeE7fiKhIJ91AHyPCl8EDmE4vQr6HDJj+iX3iTk/25nRdRPI/med2DD\nTLp88DM+Cf8t01N+whMbe/Peyj3UiQpncNtkLuuYwpD2yaQkuHtmRFXZtO8EX245yGebDrBqtzOe\nsVVSHA9e2pprujahY5OEWvP3CzWvL9mFiHBbvxbfv2HXYmfuuav/BJGx7oQzQSc8TLijfwv+NHcz\nG/cep1PTulXfqaO3QbfpfbjkUd+HNMZHThWW8F8z1vLh2n0M69yYp27sRkJMcPYyAuDARpj5AOxf\nC93GwvAnIbae26nMefJpg05VS0TkEWAezrQFU1R1gy+fM+QkNCJs2BMw+OeQ9Qq9sl6h97FnKQiP\n48vcTKZ/24snPJ1JTUliQOuG9G/dkIyWDUiK99FgXE8pHNoKOcs4vX0xnp0LiT+1GwHQOiz0dObb\n+JHEtL+cfhmZ3JAavN1ha0TnUUjzSwh/735u3vEXxnS9mcUdf8tHW/L5YvNBPt6wH4COTeoysE1D\n+rVqSEaLBiTW8e0/B1Vl95HTLNtxhEXbDrMw+xAHTxQC0DU1kV9c1Y4rOzWmXaP42v33CwEFxaW8\nszyHqzo1IrXeOY22b/4CccnQ+253wpmgdXNGc/7x6be8umgnT47pVvUdGqQ7c1dt/tAadCZobc87\nyQOvZ7Et7ySPD+/AA4NbBe//SE8pLH7WGS8XXRdufhM6Xut2KnOBfN5nT1XnAnN9/Twhr04DGPQz\nZMBPYcdXxKybwbBNcxge9SWlEsmWws58mdWat5e24XeeFsQ1aEK3ZvXpklqXDo3r0jolniZ1Ywg7\nnyIWp4/AoW8pPbCRUzlr8exdQ50jG4nynAGgUONZ4WnP6vBLKUztT3qX/gxu35hhDVw8WxiIEhrB\n7TPhm6cI/+rPDDy0hYHj3kZHdmHjvuN8vTWP+VsP8eqiXfx7/g5EoHVyPN3SEuncNJEOjRNomxJP\nckL0Bf3jKCn1sPvIabYeOMnm/cdZvyefNbn55HkbcA3jorikTRKD2iQ5Zwvr2jiqUDJ79R6OnS7+\n4UTiuStg2xfOGIko+86a85NYJ5KRPVN5b2Uujw/vQP24akxh0OFaZ3qMk3lwEfOHGuOGTzce4Gfv\nrCYiXHjtnr4MbJvkdqQLd2QHzHoIdi9yvpfXPm3fySAXgIOwTKXCwqD1ZdD6MuTav8PuxYR/+ymd\ntn9Nx6KZPBzmAeBkQV12bm3M9o0N2awNWKwJnAqLJ7ZOHHXq1CEhOpz4KCE+rJhYPUNs6Uliio8Q\nW3iYhIJ9JBbtJ85zAnBOrYZrNN9qc9Z6BrOvTntKU/uQ2qoLma0aclmTulbtsCph4TDkcWjSA2bc\nCy8ORW6ZSuemPencNJGHhrShoLiU1TnHWLbjCGtyjvHN1jzeW/ndkNOYyDDS6tchJSGapPho6sZG\nEBcdQVR4GAJ4FM4Ul3K6qIQjp4o4cqqIvccK2H+8gFKPMzz1bGNxUJskeresT0aLBrRNiT+/hr4J\nGqrKK4t20aFxApnp58yH9M1TEFsf+tzrTjgT9O66pCVvL9vNOyuqOYVBhx/BV/8HWz+yiqomaJR6\nlH9+tpVnvsima2oiE2/r5e4wl4uh6swpN+83EBYBo16Abjfb/LkhwBp0wSwiGloNcS6AFJ6Avavg\nwEbiD26ky9EddDy6G06sIry0wLlPofdyDo8KR0ngMIlsD0vmcHgbjsWlcaZuK0huT4OmbWiVksCY\nxgnB3Vfcbe2Hwb2fwFs3wyvXOpN0thoCQExkOP1aOd0uwdkZP3SyiK0HTpB98CQ5R06Tc/Q0eScK\nWZ1zjJOFJZwsLKG41IMqhIlTATY2Kpz6daJoEBdFZnoD0urH0rxBHdo1SqBNSjxxgVhMx/hE1q6j\nbNp3nP+74ZypCvatga0fw9DfQnQQD+Q3rmrfOIG+6Q14Y8ku7h/UquoDe426QL3mTrfLEG7Qicgw\n4J84x0NfUtU/n3P7EGA2sMO76D1V/d/q3Nf4V/7pYn7yziq+2pLHjb3T+MPILgFd0KxSx/fBnEch\n+1NIvxRGPg+JaW6nMjXE9uxCSXQCpA92Ll7/2ewUn4Ezx6CkAEoKQcKcs0YRMRAVh0TF0zA8goZA\nOzey1yaNOsO9n8IbN8CbN8Lol6DTiB+sJiIkJ0STnBDNgDZB3LXDuObVxbtIiIlgRI+m37/hm786\nYyYy73cnmAkZd/RvycNvreTLzQe5olOjylcWcbp3LZ8MhSdDshy6iIQDzwFX4sy9u1xE5qjqxnNW\nna+q117gfY0fnC4q5bpnF7Av/wxPjOrCLZnNg3e83PoZ8MHPnP2/4X+BPvc7Pb5MyLC/Zm0RGQt1\nmzgD01M6QHI7aNjamR8oth4Sbm17v6rbBO6eC017wrt3w/r33E5kQszBEwV8vH4fN2U0o05Ume/3\nwc3OfGCZ462SmbloV3VuRKO60by2ZFf17tDhR1BaCNs+920w92QC2aq6XVWLgKnAD4/Y1fx9TQ06\ndLKQ9XvzKSwpZer4/tzat0VwNuZOH4Hp9ziXhq1hwnzo+4A15kKQ/UWNcUtsfWeul2Z9YcZ9sGGm\n24lMCJm6LIfiUv3hVAXz/waRdaDfQ+4EMyElMjyMWzJb8M3WPHYcOlX1HZr1g9gGTrfL0JQK5JS5\nnutddq5LRGStiHwkIp3P876IyHgRWSEiK/Ly8moit8EpIvbHDzaSffAkcVERvP/oQHq3qO92rAuT\n/TlMvAQ2zna619/zCSS1dTuV8RFr0Bnjpuh4uPVdp1E3/V7Y8rHbiUwIKCn18NbS3Qxul0x6Utx3\nNxzZDuunQ8Y9ENfQvYAmpIzr24zIcOH1xdU4SxceAe2GOWM4S0t8Hy4wrQSaq2o34F/ArPN9AFV9\nUVUzVDUjOdmqE9aEwycLuX3yMl5asIPGiTF0alLX9TliL0jRKfjw586wjphEuO9zuPSXznfPhCxr\n0Bnjtuh4uHUaNOkO797pTPZszEX4bNMB9h8v4I5zz84teBrCIm0eMFOjUhJiuLpzY6Zn5XCmqLTq\nO7QfBgX5kLPE9+H8bw/QrMz1NO+y/1DV46p60vv7XCBSRJKqc1/jG+ty87nuXwtYufsof7uxOy0b\nxgVn4cec5TBpkDNOtf8jMP5raNrD7VTGD6xBZ0wgiE5wztQlNnMqYB6wMfDmwr2+ZBep9WIZ2iHl\nu4X5e2D1W9DzNkho7F44E5Ju79eC4wUlvL9mb9Urt74MwqOcs3ShZznQVkTSRSQKGAvMKbuCiDQW\n74AsEcnE2Rc7XJ37mpo3PSuX0ZMWISLMePASRvcOwsqPJUXw+R9gylVQWgR3vg9XPwGRQXiG0VwQ\na9AZEyjikpwJyCNjnUbdyYNuJzJBKPvgSRZmH+aWvs2/X0Z+8bOgHhjwE/fCmZCVmd6Ado3ieWNp\nNbpdRidAy4Eh2cVcVUuAR4B5wCZgmqpuEJEJIjLBu9oYYL2IrAGeAcaqo9z7+v9V1A5FJR5+P3s9\nv3h3DRkt6vP+owPpkprodqzzd3AzTL4C5v8Vuo+DBxdB+iC3Uxk/swadMYGkXjO4ZSqcyoOptzjT\nTRhzHt5cuovIcOGmjDI9t04ddiaT7XYT1G9R4X2NuVAiwu39WrA2N581OceqvkO74XD4Wzi8zffh\n/ExV56pqO1VtrapPeJdNUtVJ3t+fVdXOqtpdVfup6qLK7mtqXt6JQm57aSmvLd7FfQPTee2eTBrE\nRbkd6/x4PLD4eXhhMOTnws1vOHPLxdR1O5lxgTXojAk0TXvCDS9C7nKY82NQdTuRCRKni0qYnpXL\n8C5NSE6I/u6GpZOcgwMD/z/3wpmQN7JnKnWiwnm9OlMYtLva+bnlI9+GMuYcq3OOcd2/FrB2zzH+\nObYHv722ExHhQbY7nJ8Lr4+Aeb+C1kPhoSXQ8Tq3UxkXBdkn2JhaotP1MPQ3sG4aLHvR7TQmSHyw\nZh8nCkq4tW/z7xYWHIdlL0DHayG5vXvhTMhLiIlkVM9U3l+zl/zTxZWvXL8FpHQK1XF0JkBNW57D\nTZMWExHujJcb0aPcWSEClyqseQeevwRys+C6Z2DcVIhPqfq+JqRZg86YQDXoF063pHm/ht0hWQ3O\n1LA3l+6iXaN4MtMbfLdwxRSnouDAn7kXzNQat/ZtQWGJhxkrc6teud0w2LUIzlSji6YxF6GoxMPv\nZq3nv2aspU96fd5/ZCCdmwbZeLnTR+Ddu2DmeEjpAA8ugN53EpzlOE1NswadMYEqLAxGTXIqX067\n0xkHZaokIsNEZIuIZIvI45Ws10dESkRkjD/z+cq63HzW5OZza98WyNl/8MUFsOR5aDUEUnu5Gc/U\nEp2a1qVn83q8uXQXWlV38XbDQEth+5f+CWdqpbwThdz60hJeX7KL8YNb8erdmdQPtvFy2Z/B8/1h\n8wdw2e/g7o+gQSu3U5kAYg06YwJZbD246TU4cwRmP2Tj6aogIuHAc8BwoBMwTkQ6VbDek8An/k3o\nO28t20VsZDijepXpQrTmLTh5wM7OGb+6tW8LtuWdYumOI5WvmJYBsfXh20/9E8zUOmtznfFy6/bk\n88+xPfj1NR2Da7xc0Wn48Bfwxmhnf+D+L2DwLyAs3O1kJsAE0afamFqqSTe48g/OWJOlL7idJtBl\nAtmqul1Vi4CpwIhy1nsUmAGExNwQxwuKmbVqL9d3b0rdmEhnYWkJLPwnpPaG9MHuBjS1yrXdmlA3\nJoI3qiqOEhYOrS93GnQej3/CmVpjRlYuYyYtJjwsSMfL7VnpVLBc/m/o97AzSXiT7m6nMgHKGnTG\nBIO+Dzjdkz79HRywaYkqkQrklLme6132HyKSCowCJvoxl0/NWrWHM8Wl3NqvTDGUjbPg6E6nsqWN\nsTB+FBMZzpjezZi3YT+HThZWvnLbq+DUQdi/xj/hTMgrLvXwP+9v4Odl5pcLqvFypSXw9VMw+Uoo\nPg13zIZhf7JJwk2lrEFnTDAQgRHPQUwizJwAJUVuJwpmTwOPqWqVpwREZLyIrBCRFXl5eX6Idv5U\nlbeW7qZraiLd0uqdXQgLnoakdtD+R+4GNLXSLX2bU1yqvLuiiuIobS4HxLpdmhpx5FQRd0xexssL\nd3LPgCCcX+7Idnh5OHz5R+g0Eh5c6IyBNqYK1qAzJljEJcG1T8P+tTD/r26nCVR7gDIzapPmXVZW\nBjBVRHYCY4DnRWRkeQ+mqi+qaoaqZiQnJ/si70VblXOMzftPMC6zzNm57M/hwDoY8BOnuI4xftYm\nxam2OnX5bjyeSsb+xiU53YK/DZnhrMYlG/bmc92/FpC1+yh/u7E7v78uiOaXU4WsV2HiQDi0BUZP\nhjGTnTGmxlRDkHzSjTGAM5dY93HwzV+d/vXmXMuBtiKSLiJRwFhgTtkVVDVdVVuqaktgOvCQqs7y\nf9Sa8dbS3cRFhXN9j6bfLVz4NCQ0ha43uRfM1Hq39m3OrsOnWbStigq9ba+C3BVWyddcsPfX7GX0\nxEWUepR3H+jP6N5pbkeqvpN5MPUWeP/HkNYbHlwEXUOi+LLxI2vQGRNshv3ZmUR0zo+htIrJe2sZ\nVS0BHgHmAZuAaaq6QUQmiMgEd9PVvPwzxXywdi/X90glPjrCWZibBTvnQ/+HISKIuhqZkHN158bU\nrxPJW8uqKI7S9kpAndLsxpyHUo/y5MebefTtVXRpmsicRwfQvVk9t2NV39Z5MLG/06vi6j/B7bMh\nMYgaoyZgRLgdwBhznmLrwTVPwTu3weLnYOBP3U4UUFR1LjD3nGWTKlj3Ln9k8pVZq/ZQUOzh1r5l\nulsu/Icz1rL3ne4FMwanOMroXmm8smgneScKSU6ILn/FJj2gThJs+xy63+zfkCZo5Z8p5idTV/HV\nljxu6duc/76uM1ERQXKeougUfPJbWDEFGnWBO+ZAox/MsGNMtfnsky8i/y0ie0Rktfdyja+ey5ha\np+N10OFa+Or/nEHUptZRVd5e5hRD6ZLqreB26FvY9AFkjofoBHcDGgOMzWxOiUd5Nyun4pXCwqD1\nZc5ZCpu+wFRD9sGTjHpuIQu+PcQfR3bhT6O6Bk9jbk8WTBoEK16GSx515pazxpy5SL7+9P9DVXt4\nL3OrXt0YU23XPAXhUfDhz23C8Vqo3GIoi/4FEdGQ+YB7wYwp42xxlHeW51ReHKXN5XD6kFP0yZhK\nfL7pAKOeW0j+mWLeur8ft/Vr4Xak6jk7HcFLV0JJIdz5Plz1R2ebbcxFCpLDGcaYH6jbFIb+BrZ9\nAZvedzuN8bOpy3ZTp2wxlBP7Yc3b0ONWiA/MipymdhqX2Yxdh0+zZHslRU9aX+b83Pa5f0KZoKOq\nPPdlNve9toIWSXWY8+hAMtMbuB2reo7sgFeucaYj6DzKmY4gfZDbqUwI8XWD7lERWSsiU0TEaq8a\nU9P63AcpnWHer6HotNtpjJ+cKCjm/TX7uK5b0++KoSydBJ4SpxiKMQFkeJcmJMZG8tay3RWvFJ8C\njbs53S6NOcfpohIefXsVT83bwvXdm/LuA5eQWi/W7VhVU4VVb8CkgXBwM9zwknc6giAq3GKCwkU1\n6ETkMxFZX85lBDARaAX0APYBf6vgMQJ+4l5jAlZ4hNP1Mj8HFvzd7TTGT2av3suZ4lLGnS2GUnAc\nlk+BjtdDw9buhjPmHDGR4YzqmconGw5w5FRRxSu2uRxyljqfZ2O8co+eZszExXy4bh+PD+/A0zf3\nIDYq3O1YVTt9BKbdAbMfdgr/PLgQut3odioToi6qQaeqV6hql3Ius1X1gKqWqqoH+DeQWcFjBPzE\nvcYEtJYDnPnGFj4DR6soD25CwtTlu+nQOIHuad5iKCtfhcJ8GPBjd4MZU4Fxmc0pKvXw3srcildq\nc4VzlnnnfP8F8wERGSYiW0QkW0Qer2S9PiJSIiJjyizbKSLrvMXkVvgnceBauv0wI55dSM7R00y5\nqw8TLm2NiLgdq2rbvoDn+8OWj+CK/4E750C9Zm6nMiHMl1Uum5S5OgpY76vnMqbWu+L/gQh8/j9u\nJzE+tn5PPuv3HGdcZnNnx6a0GJZMhJaDILW32/GMKVf7xgn0al6Pqctz0IqKOKVlQlR8UM9HJyLh\nwHPAcKATME5EflDC0Lvek8An5TzMUG8xuQyfhg1wby7dxa0vLSUxNpJZDw9gaPsUtyNVrbgAPnoc\nXh/lTB9z/+fO1EJhQXBG0QQ1X46h+4v3KNNaYCjw//nwuYyp3RLToP8jsH4G5Nb6g7ohbery3URH\nhDGyR6qzYP0MOL4HBvzE3WDGVGFsZnOyD54ka9fR8leIiHIOTGz70r/BalYmkK2q21W1CJgKjChn\nvUeBGcBBf4YLBsWlHn47ax2/mbmeAW2SmPnwAFonx7sdq2r718O/h8LSic7UMeO/gibd3U5lagmf\nNehU9XZV7aqq3VT1elXd56vnMsbgHAWMS3EKpNg0BiHpTFEps1ft5ZquTUisE+n8nRc+AymdnO5q\nxgSwH3VtQnx0BFOXVzInXeuhcHQHHN3pt1w1LBUo+wJzvcv+Q0RScXouTSzn/gp8JiJZIjK+oicJ\n1foDR04VcfvkpbyxZDfjB7diyl19SIyNdDtW5TweWPyc05g7dQhune6MbY+q43YyU4vYtAXGhIro\nBLjsN05Rgc0fuJ3G+MDcdfs4UVjCzX28YzGyP4eDG5zJaYNhXImp1eKiI7iue1M+XLuP4wXF5a/U\naqjzM7jP0lXlaeAxb42Bcw1U1R44XTYfFpHB5T1AKNYf2LTvONc/u4CVu4/xj5u78+trOhIeFuDb\nteP74I1RzoHUNlfAQ4uh7ZVupzK1kDXojAklPW6Dhm3hiz+Cp9TtNKaGvbM8h/SkOPqenXtp0TOQ\n0BS6jKn8jsYEiLF9mnGmuJT31+wtf4WktlA3FbYHbYNuD1C2+kWad1lZGcBUEdkJjAGeF5GRAKq6\nx/vzIDCTCgrKhZqP1+9n9MRFFJd6mPZAf0b1THM7UtU2zoGJ/SFnGVz7NIx9C+KS3E5lailr0BkT\nSsIjnLN0eZth7TS305gatC3vJMt2HuHmPs2cYih7V8OOr6HfBGfskTFBoFtaIh0aJzB1WQXdLkWg\n1RDY/nWwHpRaDrQVkXQRiQLGAnPKrqCq6araUlVbAtOBh1R1lojEiUgCgIjEAVcR4gXlVJVnPv+W\nCW9k0bZRAnMeGUiPZgE+R1vhSWcqgmm3Q70W8MB8yLjbekkYV1mDzphQ03GEMxD7qz9BSSVzPpmg\nMm15DuFhwg29vMNxFj8LUQnQ+y5XcxlzPkSEm/s0Y92efDburWC+uVZDoeAY7Fvt33A1QFVLgEeA\necAmYJqqbhCRCSIyoYq7NwIWiMgaYBnwoap+7NvE7jldVMIjb63i759u5Yaeqbwzvh+N6sa4Haty\nuVnwwiBY9SYM+jnc9xkktXE7lTHWoDMm5ISFweW/h2O7nfnJTNArLvUwY2Uul3VIISUhxvnbrn8P\net/plMY2JoiM6plKVEQY01ZUcJau1RDnZ5COo1PVuaraTlVbq+oT3mWTVHVSOeveparTvb9vV9Xu\n3kvns/cNRXuOnWHMxMXMXb+PX1/Tgb/d1J2YyAAu7e8phW+egslXOlPF3PWh8382PMALtphawxp0\nxoSi1pdD8/6w4B9QUuh2GnORvth8kEMnixh7thjKkklO955+D7obzJgLUK9OFFd3bszMVXsoKC6n\nW2V8MjTqCtu/8ns243srdh5hxLMLyDlymil39mH84ACfLPzoLnjlR87Y9M4jYcICaDnA7VTGfI81\n6IwJRSJw6WPO/GSrXnc7jblI7yzPISUhmkvbJcOZY86Z186jnPkHjQlCN2c0I/9MMfM27C9/hdZD\nYPcSKDrt11zGt6Ytz2Hcv5cQHx3BzIcvYWiHAJ8sfO27MGmgM8fcqBdg9GSIDfAxfqZWsgadMaGq\n1RBo1hfm21m6YLY/v4CvthxkTO80IsLDIOsVKDrpTFVgTJC6pHVD0urHVtztMv1S8BRDzhL/BjM+\nUVLq4Q8fbOS/Zqylb3pDZj88kDYpCW7HqpinBPK2wHv3QUpHeHABdB9rhU9MwLIGnTGh6j9n6XJh\n9ZtupzEXaMbKXDwKN2U0c4rcLH0B0gc7hW+MCVJhYcJNGc1YmH2YnCPlnIVr3h/CIpxqlyao5Z8p\n5p5XVzB5wQ7uuqQlr9zdh8Q6ATz2bPcSp4rw6UMw9Ddw11yo39LtVMZUyhp0xoSy1pdBWh9nLF1p\nidtpzHlSVaatyKFvegNaJsXBhplwYi/0t7NzJviN6Z2GCLyblfvDG6PjnW3Xjm/8H8zUmB2HTjHq\n+YUsyj7E/93Qlf++vrPT0yAQlZbAl3+Cl4c71xt3g0v/y5kOyJgAF6DfKmNMjRBxSisf2w0b3nM7\njTlPy3YcYdfh087ZOVVY9C9I7gBtrnA7mjEXrWm9WAa1TWb6ihxKPfrDFdIHO1MXnDnm/3Dmoi34\n9hAjn1vIsdPFvHlfX8ZlNnc7UsWO7ICXh8HXT0K3m6FpT4gO4C6hxpzDGnTGhLq2V0NyR+csnZaz\n02QC1rQVucRHRzC8a2NnEvED66D/w87UFMaEgJsy0tibX8CibYd+eGP6paAe2LnA/8HMBVNVXlu8\nkztfXkbjujHMfngAfVs1dDtW+VRhzVSYNAjytjpFT0ZNgrAAnkLBmHLYXoExoS4sDAb+FA5uhK3z\n3E5jqulEQTFz1+3juu5NqRMVAYuehbhk6HqT29GMqTFXdmpEvTqRvLO8nOIoaX0gIta6XQaR4lIP\nv5m1nt/P3sDQ9snMeOgSmjWo43as8hXkw4z7YOYD0LiLU/ik6xi3UxlzQaxBZ0xt0GU0JDaDBX93\nO4mppg/X7uNMcSk3ZaTBwc2Q/SlkjofIGLejGVNjoiPCGdkjlU82HODY6aLv3xgRBS36O2enTcA7\neqqI2ycv5a2lu3lwSGteuD2D+OgAHX+2ewlMHOiMSx76W2ei8HoB3CXUmCpYg86Y2iA8Evo/AjlL\nIWeZ22lMNUxbkUPblHh6NKsHS55zzlRk3Ot2LGNq3I0ZaRSVepi1as8Pb0y/FPI2w4kK5qszAeHb\nAycY8dxCVu46xt9v6s5jwzoQHhaAJf7LFj4JC4N75sGlv7QuliboWYPOmNqi520QnQiLn3M7ialC\n9sETrNx9jJsymiGn8mDNO9BjHMQF6DgUYy5C56aJdG5at/xql+mDnZ82ji5gfbnlIDc8v4jTRaVM\nfaAfN/RKcztS+Y7udBpyZwufPDAfmvVxO5UxNcIadMbUFtHxkHEXbJoDR3e5ncZU4t2sXMLDhJE9\nU2H5ZCgthH4PuR3LGJ+5sXcaG/YeZ8Pe/O/f0LgbRNe1Bl0AUlVemr+de19ZTrMGdZjzyAB6Na/v\ndqzyrX3XW/hk83eFT2Lqup3KmBpjDTpjapPMB0DCYNmLbicxFSgp9fDeyj0MbZ9CcowHlr8E7YZD\nUlu3oxnjMyN6pBIVHsa7K845Sxce4UwyvnO+O8FMuYpKPDw+Yx1//HATV3ZqxPQH+9O0XqzbsX6o\n4Di89wC8dx+kdIIJVvjEhCZr0BlTmySmQudRkPWq84/OBJyvt+aRd6LQKYay9h04fciZqsCYEFY/\nLoorOzVi9uo9FJaUfv/G9EFwOBuO73MnnPmeI6eKuG3yUt5ZkcMjQ9sw8dbeTiXeQJO7Al4YBOum\nwZBfOYVP6rdwO5UxPmENOmNqm34PQtEJWPO220lMOaatyCEpPoqh7ZNg8fNOl7OWA92OZYzP3ZiR\nxtHTxXy+6eD3bzj7+d+10P+hzPd8e+AEI59byOqcY/xzbA9+cXV7wgKt+ImnFL55CiZfBR4PLWAU\nsgAAHL9JREFU3P0RDHncOdtrTIiyBp0xtU1qb0jNcLpdejxupzFlHD5ZyBebDzKyRyqRO76EQ1uc\n6qQSYDtMxvjAoLbJNK4bw7srzpmTrnE3p6CTzUfnqrLFT94Z348RPVLdjvRD+bnw6nXwxR+h0wiY\nMB+a93M7lTE+Zw06Y2qjzPFOF6YdX7mdpMaJyDAR2SIi2SLyeDm33yoia0VknYgsEpHubuQsz6zV\neykuVW7MaAaLn4WEJk4XWWNqgfAw4YZeqXy9NY8Dxwu+uyEsHFpcYoVRXKKqTFmwg3tfWU6at/hJ\nz0AsfrJxNkwcAPvWwMhJMGYKxNZzO5UxfnFRDToRuVFENoiIR0QyzrntV94dqi0icvXFxTTG1KjO\nI6FOEiz7t9tJapSIhAPPAcOBTsA4Eel0zmo7gEtVtSvwByAgKsSoKu+uyKFbWiLtZTds/8ppeEdE\nuR3NGL8Z0zsNj8J7K8+Zk67lQDiyDY7vdSfYeajqoFKZ9fqISImIjDnf+/pLcamH38xaz/9+sJEr\nOjZi+oQALH5SdArm/Bim3QEN0uGBb5xpXqxng6lFLvYM3XrgBuB7/SC8O1Bjgc7AMOB5746WMSYQ\nRERD77tgy0ehNoVBJpCtqttVtQiYCowou4KqLlLVo96rS4CAmDRpw97jbN5/ght7pzlj5yLrOH8j\nY2qRVsnxZLSoz/SsHFT1uxvOjqML8LN01TyodHa9J4FPzve+/nLsdBF3TF7GW0t38+CQ1ky6rTdx\n0QE2Dm3fWnhxCKx8DQb8BO75BBq2djuVMX53UQ06Vd2kqlvKuWkEMFVVC1V1B5CNs6NljAkUGfc4\nUxismOJ2kpqUCpQdgJPrXVaRe4GPKrpRRMaLyAoRWZGXl1dDEcs3PSuXqIgwRrSJdKqy9bgF6jTw\n6XMaE4jG9E5jW94pVuUc+25h467OOLoAb9BRjYNKXo8CM4CDF3Bfn9ued5JRzy8ia9dR/n5Tdx4b\n1iGwip+oOge+Xrrcqdh8xyy48n+tR4OptXw1hu58d6qMMf6WmArthsHqN6GkyO00ficiQ3EadI9V\ntI6qvqiqGaqakZyc7LMshSWlzFq9h6s6NaLu+lehtAj6Puiz5zMmkP2oWxNiIs+Zky4s3ClusWuR\ne8Gqp8r9HxFJBUYBE8/3vmUew2cHmxZmH2Lkcws5fqaYt+7vyw29AqITw3dO5sGbN8K8X0Hry+HB\nRdBqSI0+RYcGHejQoEONPqYxvlRlg05EPhOR9eVcauSokT+PgBtjzpFxN5zKgy0fup2kpuwBmpW5\nnuZd9j0i0g14CRihqof9lK1CX2w6yLHTxdzUIxmWT3Ya2klt3I5ljCsSYiK5pksTPlizl4LiMnPS\ntbgEDn8LJw9WfOfg8DTwmKpecJlhXx1senPpLu6YsozGiTHMengAGS0DrJdA9mcw8RKn4uk1f4Vx\nb0Ncwxp/mscyH+OxzAqP9RkTcKrsDK2qV1zA41Zrp8r7+C/iLUqQkZGh5a1jjPGR1pdBYjPIeiVU\nqikuB9qKSDrONmcscEvZFUSkOfAecLuqbvV/xB+anpVLo7rRDDzzhTOReL+H3I5kjKvG9E7jvVV7\nmLdh/3fl8VsMcH7uWuQUdgpM1dn/yQCmilO0Iwm4RkRKqnlfnygp9fDE3E28vHAnQ9sn88y4niTE\nRPrjqaunpAg+/x+n+m9yR6eLZaPObqcyJmD4qsvlHGCsiER7d6zaAst89FzGmAsVFg697nAqKh7e\n5naai6aqJcAjwDxgEzBNVTeIyAQRmeBd7fdAQ5xiTatFZIVLcQE4eKKAr7bmcUPPVMKWTIRGXSF9\nsJuRjHFdv1YNSa0Xy/SsMt0um/ZwigUF9gTj/zmoJCJROAeV5pRdQVXTVbWlqrYEpgMPqeqs6tzX\nF04UFHPfayt4eeFO7hmQzkt39gmsxtyhbJh8hdOYy7gXxn9pjTljznGx0xaMEpFcoD/woYjMA1DV\nDcA0YCPwMfCwqpZW/EjGGNf0vA0kHFa+6naSGqGqc1W1naq2VtUnvMsmqeok7+/3qWp9Ve3hvWRU\n/oi+NWvVHko9ym0pOyBvE/R/yMptm1ovLEwY3TuNBdmH2Jd/xlkYHgnNMgN6HF01Dyqd1319mTfn\nyGlGT1zEgm8P8adRXfn9dZ0ID5TiJ6qw6k14YTAc2w03vwnX/h0iA2zaBGMCwMVWuZypqmmqGq2q\njVT16jK3PeHdoWqvqhVWkTPGuKxuU2h3Nax+G0qL3U5Tq6gq07Ny6dm8HqmbpkBcCnQZ7XYsYwLC\n6F6p6Llz0rUYAAc2wOkj7gWrQlUHlc5Z9y5VnV7ZfX0la9cRRj63kP35Bbx6Tya39G3uy6c7PwX5\nMONemP0QpPaCCQuh47VupzImYPmqy6UxJpj0vB1OHXQGnBu/Wbcnn60HTnJP+yLI/hQy73fmCDTG\n0KJhHJnpDZiRlfvdnHQtLgEUcpa6mi3YzVq1h3EvLiUhJoKZDw9gQJsktyN9J2c5TBoIG2bBZb+D\nO2Y7VZmNMRWyBp0xBtpeCXHJsOoNt5PUKmfnnrvqxEwIj3bmBjTG/MeY3mlsP3SKlbuPOgtSe0N4\nVDDMRxeQPB7lb59s4afvrKZXi3rMfGgArZPj3Y7l8JTC/L/BFG9nr3s+hsG/cMZ6G2MqZQ06Y4wz\nNqX7WNj6sTPHj/G5wpJSZq/ey6gOsUSvnwbdb4a4ADpKbkwAuKZrE2Ijw5me5e12GRnrNOoCeBxd\noCooLuXRqav41xfZ3JSRxmv39KV+XIBMxH18H7w+Ej7/X+g0AiYscMZLGmOqxRp0xhhHj9vAUwJr\n33E7Sa3w+aaD5J8p5oG4b6DkjE0kbkw54qMjGN618ffnpGveH/avhaJT7oYLMpMX7GDuun38angH\nnhzdjaiIANkF3PIxTBoAuSvg+mdhzBSISXQ7lTFBJUC+zcYY16V0gNQMp9ul2pSQvjYjK5fUhDDS\nt78FrYZCo05uRzImII3plcaJwhI+2XjAWdC8v3PwaU+Wu8GCzP2DWvHWff144NLWSCBU0i0phI8e\ng7dvdopzjf8aet1uVX6NuQDWoDPGfKfnrU7p/H1r3E4S0s7OPfdY863IiX02kbgxlfjBnHTNMgGB\nXYtdzRVsoiLC6N+6odsxHHlb4aXLYekkp3fCfZ9Dcju3UxkTtKxBZ4z5TudRTsEB63bpU7NX7aXU\n4+Gq4zOgYRtoc4XbkYwJWGFhwg29UlnwbR778wsgtp4zsfRua9AFHVVY+Tq8eCkc3wvj3oHhf7bq\nvsZcJGvQGWO+E1vfmZNu3XQoLXE7TUhSVWaszOXmxnuJyVsD/R6EMNsUG1OZ0b3S8Ci8t8p7lq55\nP8hdbtupYFKQD9PvgTmPQFqGM7dc+2FupzImJNhehDHm+7qNdeak2/6l20lC0oa9x9m8/wQPRX8C\nMfWg+zi3IxkT8FomxZHRov53c9I17w9FJ+HAOrejmerIXQGTBsHG2c7ccrfPgrpN3E5lTMiwBp0x\n5vvaXuWcqVsz1e0kIWl6Vi7p4YdofvBz6H0XRMW5HcmYoDCmdxrb8k6xJjffadAB7F7ibihTOY8H\nFvzDmVtOFe7+yOaWM8YHrEFnjPm+iChnLN3mD6HwhNtpQkpRiYc5a/bym+QFCAKZ97sdyZigcU23\nJkRHhDEjKxcSUyGxuY2jC2QnDsAbo+Cz/4YOP4IJ86F5X7dTGROSrEFnjPmhbmOdudE2feB2kpDy\n5ZaDFJ7K59JTHzmT5yamuR3JmKBRNyaSqzs3Zs6avRSWlEKL/k6lS5tmJfBkf+bMLbd7KVz3T7jx\nVaeYjTHGJ6xBZ4z5oWaZztHv9TPcThJSZmTlcmedRUQWn4D+D7sdx5igM7p3Gvlnivl800Fo1tcZ\n73t0p9uxzFklRfDJb+GN0RCXDOO/crqW29xyxviUNeiMMT8kAl1ucAqjnDrsdpqQcORUEV9t2c99\nkfMgrY9T5c0Yc14GtkmiUd1op9tlM2/3vZxl7oYyjiM7nLFyi/4FGffC/V9ASge3UxlTK1iDzhhT\nvi6jwVMCm2a7nSQkzFm9h4G6igaFuc5UBcaY8xYeJozqmcZXW/PIi20F0XUhxwqjuG7ddKeK5ZFt\ncNNrcO3fITLW7VTG1BrWoDPGlK9xV0hqB+us22VNmLFyDz+u8ynUTYWO17sdx5igNaZ3KqUeZfba\n/c6ZbjtD556iUzD7YZhxLzTqBBMWOOODjTF+ZQ06Y0z5RJyzdLsWwvG9bqcJalsPnKBo7zp6lKyB\nPvdBeKTbkYwJWm1SEuielsj0s90uD2xwJq02/rV/Pbw4BFa9CYN+AXfNhXrN3U5lTK1kDTpjTMW6\njAYUNsx0O0lQm5GVy70R89CIWKdAgDHmoozuncbm/SfYWacLoM7E1QFCRIaJyBYRyRaRx8u5fYSI\nrBWR1SKyQkQGlrltp4isO3ubf5NXkyosnwz/vsxpSN8+Ey7/HYRHuJ3MmFrLGnTGmIoltXW6Xm6Y\n5XaSoFVS6uHLlRsZFbEA6T4W6jRwO5IxQe+6bk2JDBem7m0EEhYw3S5FJBx4DhgOdALGiUinc1b7\nHOiuqj2Ae4CXzrl9qKr2UNXAq5x05ihMuwM+/BmkD4IJC6H1ULdTGVPrWYPOGFO5TiMgdxnk57qd\nJCgt3HaYK898TKQWQ98JbscxJiTUj4vi8g6NeHfdMTSlUyAVRskEslV1u6oWAVOB7w0qU9WTqv+Z\nPC8OCI6J9HKWwaTBsGUuXPkHuOVdiE92O5UxBmvQGWOq0mmU83PT++7mCFKzVuzgzshP8bQaaiW8\njalBo3uncfhUEXsSujldLj2lbkcCSAVyylzP9S77HhEZJSKbgQ9xztKdpcBnIpIlIuN9mrS6PB6Y\n/zeYMswZW33PJzDgxxBmu5DGBAr7NhpjKpfUBlI6W7fLC3C8oJiwTbNJ4Shh/R5yO44xIWVI+2Qa\nxkXx6YmWUHTSKY4SJFR1pqp2AEYCfyhz00BvV8zhwMMiMri8+4vIeO/4uxV5eXm+C3riALxxA3z+\nv05vjQnzIa23757PGHNBLqpBJyI3isgGEfGISEaZ5S1F5Ix3UO9qEZl08VGNMa7pPNLp0mTVLs/L\n3DV7uV3mUpDYGtpc4XYcY0JKZHgY1/doyhu5jZwFucvdDeTYAzQrcz3Nu6xcqvoN0EpEkrzX93h/\nHgRm4nThLO9+L6pqhqpmJCf7qNvjti9g0gDYvRiu+yeMmQIxib55LmPMRbnYM3TrgRuAb8q5bZt3\nUG8PVbWBI8YEs04jnZ/W7fK8rFv6GT3CthM94EHrnmSMD4zulca20iTORDUIlAbdcqCtiKSLSBQw\nFphTdgURaSMi4v29FxANHBaROBFJ8C6PA67C2c/yr9Ji+Oy/4fVRUCcJxn/lVOd1IhtjAtBF1ZhV\n1U0AYl9yY0JbcjtI7uh0u+z7gNtpgsKuw6fonzeNgugEYrqPczuOMSGpc9O6tG9Ul7Vn2tE3ACpd\nqmqJiDwCzAPCgSmqukFEJnhvnwSMBu4QkWLgDHCzqqqINAJmevepIoC3VPVjv76AY7th+r1OIaxe\nd8KwP0NUHb9GMMacP19OGpIuIquBfOC3qjrfh89ljPG1TtfD13+Bk3lW2awaPl2cxV1hyyjoPgGi\n492OY0xIEhFG907lq3kt6Vu0BE4fcX1qEFWdC8w9Z9mkMr8/CTxZzv22A919HrAim96H2Q87RVDG\nTPHOQ2qMCQZV9gESkc9EZH05lxGV3G0f0Nw7sPdnwFsiUreCx/fPwF5jzMXpcC2gTslqUymPR4ld\nPYUwgfhBD7odx5iQNrJHKqu0rXMlMLpdBpfiApj7S3jnNmjQCiZ8Y405Y4JMlQ06Vb1CVbuUc5ld\nyX0KVfWw9/csYBvQroJ1fT+w1xhz8Rp3hcTmsPlDt5MEvKxvc/lR8Sfsa3I51GvudhxjQlpK3RgS\nWvWhhDA0ALpdBpVD2TD5Clj2IvR72JmSoEErt1MZY86TT0bpi0iyiIR7f28FtAW2++K5jDF+IgId\nr4XtX0LhCbfTVEhEhonIFhHJFpHHy7ldROQZ7+1rvUUJalTO1y9TT07R8Iqf1vRDG2PKcV2ftmz2\nNCf/20VuRwkea96BFwZD/h4Y9w4M+xNERLmdyhhzAS522oJRIpIL9Ac+FJF53psGA2u9Y+imAxNU\n9cjFRTXGuK7DtVBaBN9+6naScnkPJD2HM4dTJ2CciHQ6Z7XhOAeZ2gLjgYk1meFMYTE99kwlJ6Y9\nMa0G1ORDG2MqcFWnRqwPa0fMwVWBMsF44Co6BbMegpnjoUl3mLAA2g9zO5Ux5iJcVIPOOzFmmqpG\nq2ojVb3au3yGqnb2TlnQS1Wt1rkxoaB5P6eM9eYP3E5SkUwgW1W3q2oRMBU4d7zvCOA1dSwB6olI\nk5oKsOqr92gleyjoPd7KfBvjJzGR4YQ160OM5wyn9wTPBON+t389vDgEVr8Fg38Jd74PialupzLG\nXCSbGMkYU31h4dB+OGz9BEoK3U5TnlQgp8z1XO+y813ngsWt+jeHqE/rS2+rqYc0xlRDhz5XALB5\n+WcuJwlQ62fAS5fDmWNwxyy47LcQ7sti58YYf7FvsjHm/HQZ7TTmCvIhPsXtND4lIuNxumXSvHnV\nxU3UU8qZeu3IThhMv6gYX8czxpTRtUsPVs0bgNi0KuVr2AZaDYXrnwn5bbcxtY016Iwx56f1UOcS\nmPYAzcpcT/MuO991AKcKL/AiQEZGhlb15BIWTr8Jz59PXmNMDZGwMHr+0qZVqVCT7nDLVLdTGGN8\nwLpcGmNCyXKgrYiki0gUMBaYc846c4A7vNUu+wH5qrrP30GNMcYYY2qCnaEzxoQMVS0RkUeAeUA4\nMEVVN4jIBO/tk4C5wDVANnAauNutvMYYY4wxF8sadMaYkKKqc3EabWWXTSrzuwIP+zuXMcYYY4wv\nWJdLY4wxxhhjjAlS1qAzxhhjjDHGmCBlDTpjjDHGGGOMCVLWoDPGGGOMMcaYIGUNOmOMMcYYY4wJ\nUuIUfAsMIpIH7LrIh0kCDtVAnJoQSFkgsPIEUhawPJWpiSwtVDW5JsK45Ty3T4H094PAyhNIWSCw\n8gRSFqgdeWrbtulcgfY39gV7jaGhtr3G89o2BVSDriaIyApVzXA7BwRWFgisPIGUBSxPZQIpS7AI\ntPcskPIEUhYIrDyBlAUsT21QG95Te42hwV5j5azLpTHGGGOMMcYEKWvQGWOMMcYYY0yQCsUG3Ytu\nBygjkLJAYOUJpCxgeSoTSFmCRaC9Z4GUJ5CyQGDlCaQsYHlqg9rwntprDA32GisRcmPojDHGGGOM\nMaa2CMUzdMYYY4wxxhhTK4Rkg05EHhWRzSKyQUT+4nYeABH5uYioiCS5nOMp73uzVkRmikg9FzIM\nE5EtIpItIo/7+/nPydJMRL4UkY3ez8tP3MzjzRQuIqtE5IMAyFJPRKZ7PzObRKS/25kCSVWfZXE8\n4719rYj0cjHLEBHJF5HV3svvfZhliogcFJH1Fdzut/elmnn8+d5Uuc3x8+emOnn88v6ISIyILBOR\nNd4s/1POOn797ISK6v7fFZE+IlIiImP8ma8mBNI20Feq83f0vs7V3u/Q1/7OeLGq8Xf8ZZm/4XoR\nKRWRBm5kvVDVeI2JIvJ+mW3h3VU+qKqG1AUYCnwGRHuvpwRApmbAPJx5YpJcznIVEOH9/UngST8/\nfziwDWgFRAFrgE4uvh9NgF7e3xOArW7m8eb4GfAW8IGbObxZXgXu8/4eBdRzO1OgXKrzWQauAT4C\nBOgHLHUxyxB/faaAwUAvYH0Ft/vlfTmPPP58b6rc5vjz/almHr+8P97XG+/9PRJYCvRz87MTCpfq\n/t/1rvcFMBcY43bumn6N/vyeu/ga6wEbgebe667vA9f0azxn/euAL9zO7YO/46/x7p8DycARIKqy\nxw3FM3QPAn9W1UIAVT3och6AfwD/Bbg+YFFVP1HVEu/VJUCanyNkAtmqul1Vi4CpwAg/Z/gPVd2n\nqiu9v58ANgGpbuURkTTgR8BLbmUokyURZ0d4MoCqFqnqMXdTBZTqfJZHAK+pYwlQT0SauJTFb1T1\nG5x/QBXx1/tS3Tx+U81tjt/en0DaBnpf70nv1Ujv5dz/m3797ISI6m4fHgVmAIGw33S+Amob6CPV\neY23AO+p6m4ImH3g83G+f8dxwNt+SVZzqvMaFUgQEQHicf5/lVCJUGzQtQMGichSEflaRPq4GUZE\nRgB7VHWNmzkqcA/OkU5/SgVyylzPxcUGVFki0hLoiXNU2C1P4zT+PS5mOCsdyANeFqcL6EsiEud2\nqABSnc+yvz7v1X2eS7zd1D4Skc4+yFFdgbgd8Pt7U8k2x5X3p4ptoF/eH3G6nK/GaVR8qqoB8d4E\nuSrfMxFJBUYBE/2YqyYF2zbwQlTnNbYD6ovIVyKSJSJ3+C1dzaj291tE6gDDcA5CBJPqvMZngY7A\nXmAd8BNVrXS/MKImE/qLiHwGNC7npt/gvKYGOF0x+gDTRKSVes9bupDn1zjdHP2msjyqOtu7zm9w\nWvtv+jNboBKReJyNwk9V9bhLGa4FDqpqlogMcSPDOSJwuqk9qqpLReSfwOPA79yNZS7QSpxuOCdF\n5BpgFtDW5UyBwu/vTSBsc84jj9/eH1UtBXqIM757poh0UdVyxz6aGvU08JiqepyTAiGpNmwDI4De\nwOVALLBYRJao6lZ3Y/nEdcBCVQ2I3hc17GpgNXAZ0Br4VETmV/a/IigbdKp6RUW3iciDOKebFVgm\nIh4gCedMg1/ziEhXnLMca7wbyDRgpYhkqup+f+cpk+su4Frgcl82dCuwB2dM4Vlp3mWuEZFInB2Z\nN1X1PRejDACu9/6jiQHqisgbqnqbS3lygdwyR8in4zTojKM6n2V/fd6rfJ6y/whUda6IPC8iSap6\nyAd5qhJQ2wF/vzfV2Ob49f2pKo8bnx1VPSYiX+IcgS/boAuoz06QqM57lgFM9e6rJAHXiEiJqs7y\nT8SLFmzbwAtRnb9jLnBYVU8Bp0TkG6A7ztjYYHA+3++xBF93S6jea7wbZ/iYAtkisgPoACyr6EFD\nscvlLJzCKIhIO5wBh658WVV1naqmqGpLVW2J80Xr5cvGXFVEZBhOl77rVfW0CxGWA21FJF1EonC+\nkHNcyAE4FdNwxohtUtW/u5UDQFV/papp3s/KWJyBvm415vB+TnNEpL130eU4g62Nozqf5TnAHeLo\nB+Sr6j43sohIY+/nHRHJxNn+H/ZBlurw1/tSLf58b6q5zfHb+1OdPP56f0Qk2XtmDhGJBa4ENp+z\nWkB9doJEldsHVU0vs68yHXgoiBpzEHzbwAtRnf85s4GBIhLh7ZLYF2dcbLCo1j6iOGP8L8V5vcGm\nOq9xN84+FyLSCGgPbK/sQYPyDF0VpgBTxClPXQTc6cJZqED2LBCNc/oWYImqTvDXk6tqiYg8glP1\nMxyYoqob/PX85RgA3A6sE2fcBsCvVXWui5kCyaPAm96Nznaco0aGij/LIjLBe/sknGpx1wDZwGl8\n9P5VM8sY4EERKQHOAGN9tW0UkbdxKsoliUgu8P9wClz49X05jzx+e2+oYJsDNC+Tx5/vT3Xy+Ov9\naQK8KiLhODvb01T1Aze+U6GkmtuHoBZo20BfqM5rVNVNIvIxsBZnLP5LwdRl+Tw+q6OAT7xnIoNK\nNV/jH4BXRGQdTkXfx6o6kyxB9Fk2xhhjjDHGGFNGKHa5NMYYY4wxxphawRp0xhhjjDHGGBOkrEFn\njDHGGGOMMUHKGnTGGGOMMcYYE6SsQWeMMcYYY4wxQcoadMYYY4wxxhgTpKxBZ4wxxhhjjDFByhp0\nxhhjjDHGGBOk/n/IdluHQLEocAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x22c7a066160>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(-1, 1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"偶数の次数でどんどん増やして確認する。"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$$f(x)=- \\frac{4}{\\pi^{2}}x(x - \\pi)$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$f\\left(\\frac{\\pi}6\\right)=0.555556,\\quad f\\left(\\frac{\\pi}6\\right)-\\sin\\left(\\frac{\\pi}6\\right)=0.055556$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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kcYmpfN6tqozoZhAnR3s+71qVK7fjmbjlrLG2rYs/RF+DTe+ZHU8IIR7Pvasw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\nmmmta2T1bQqEjYkMhdmtjL3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dRFg775bgUcHYpP2PvZTEY1NK2QNTgLZAJaCPUqrSA+e4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\npZSf+//91sTGrew9hAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x22c7a132f60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(0, 1)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$$f(x)=\\frac{16}{9 \\pi^{4}}(x + \\pi)x(x - \\pi)(x - 2 \\pi)$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$f\\left(\\frac{\\pi}6\\right)=0.528121,\\quad f\\left(\\frac{\\pi}6\\right)-\\sin\\left(\\frac{\\pi}6\\right)=0.028121$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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5fJbWCAJrw49vg9ZmxxJCFHb6e5jTxViH/NCXEDPF5mJtw/FE+s3a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\n6v8D4nM0g5d3dCYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x22c7a200518>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(-1, 2)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/latex": [
"$$f(x)=- \\frac{64}{225 \\pi^{6}}(x + 2 \\pi)(x + \\pi)x(x - \\pi)(x - 2 \\pi)(x - 3 \\pi)$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$f\\left(\\frac{\\pi}6\\right)=0.518732,\\quad f\\left(\\frac{\\pi}6\\right)-\\sin\\left(\\frac{\\pi}6\\right)=0.018732$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ciMCjNa5VM/G+PoSsQjdPN3qRMfe/QLcaUOiViQm3c/9tY9kweB7zvX0IX/k0ea8Nh6Js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\nkhC118GVMGsgFGbBzfOh02ifu7s9Xh7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1MGGeNXTTg6P5JTwyYwPHzpfyyoN99SSbCirh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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x22c7a42d9b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(-2, 3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"20次でも誤差はまだかなり残る。"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/latex": [
"$$f(x)=\\frac{1048576}{428670161650355625 \\pi^{20}}(x + 9 \\pi)(x + 8 \\pi)(x + 7 \\pi)(x + 6 \\pi)(x + 5 \\pi)(x + 4 \\pi)(x + 3 \\pi)(x + 2 \\pi)(x + \\pi)x(x - \\pi)(x - 2 \\pi)(x - 3 \\pi)(x - 4 \\pi)(x - 5 \\pi)(x - 6 \\pi)(x - 7 \\pi)(x - 8 \\pi)(x - 9 \\pi)(x - 10 \\pi)$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$f\\left(\\frac{\\pi}6\\right)=0.505583,\\quad f\\left(\\frac{\\pi}6\\right)-\\sin\\left(\\frac{\\pi}6\\right)=0.005583$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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UUna5FQXf94dfP4WQYfzeYTpdJx9m24krfNCnNq92qoG3Q1Oe+6H/9dLi8HGd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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x22c7a77c668>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(-9, 10)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 参考\n",
"\n",
"* 2018.07.24 [元ネタのツイート](https://twitter.com/7shi/status/1021661417810710528)\n",
"* 2014.02.14 [matplotlib入門 - りんごがでている](http://bicycle1885.hatenablog.com/entry/2014/02/14/023734)\n",
"* 2017.04.07 [[Python]Matplotlibで複数のグラフを描画する方法](https://qiita.com/supersaiakujin/items/543053ca4610437112df)\n",
"* 2018.03.09 [Is it possible to show \\`print\\` output as LaTeX in jupyter notebook?](https://stackoverflow.com/questions/48422762/is-it-possible-to-show-print-output-as-latex-in-jupyter-notebook)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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@7shi 7shi commented Jul 26, 2018

この件をブログに書きました。

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